4201006512 has 80 divisors (see below), whose sum is σ = 10971797760. Its totient is φ = 1385030400.

The previous prime is 4201006429. The next prime is 4201006517. The reversal of 4201006512 is 2156001024.

4201006512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4201006512² = 35296911427732812288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4201006517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2256462 + ... + 2258322.

It is an arithmetic number, because the mean of its divisors is an integer number (137147472).

Almost surely, 2^4201006512 is an apocalyptic number.

It is an amenable number.

4201006512 is an abundant number, since it is smaller than the sum of its proper divisors (6770791248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4201006512 is a wasteful number, since it uses less digits than its factorization.

4201006512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4201006512 is about 64815.1719275665. The cubic root of 4201006512 is about 1613.5575194839.

Adding to 4201006512 its reverse (2156001024), we get a palindrome (6357007536).

The spelling of 4201006512 in words is "four billion, two hundred one million, six thousand, five hundred twelve".